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Finding the Fourth Proportional to 134.31, 200.94 and 115.88

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Solution

The fourth proportional to 134.31, 200.94 and 115.88 is: 173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 200.94 = 115.88 : x
  2. Step 2: Convert to fraction form
    134.31/200.94 = 115.88/x
  3. Step 3: Cross multiply
    134.31x = 200.94 × 115.88
  4. Step 4: Simplify right side
    134.31x = 23,283.92
  5. Step 5: Solve for x
    x = 23,283.92/134.31
  6. Step 6: Final answer
    x = 173.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.